Micropatterned Fiber Scaffolds for Spatially Controlled Cell Adhesion

Because the local microstructure plays a pivotal role for many biological functions, a wide range of methods have been developed to design precisely engineered substrates for both fundamental biological studies and biotechnological applications. However, these techniques have been by‐and‐large limited to flat surfaces. Herein, we use electrohydrodynamic co‐spinning to prepare biodegradable three‐dimensional fiber scaffolds with precisely engineered, micrometre‐scale patterns, wherein each fiber is comprised of two distinguishable compartments. When bicompartmental fiber scaffolds are modified via spatially controlled peptide immobilization, highly selective cell guidance at spatial resolutions (<10 µm), so far exclusively reserved for flat substrates, is achieved. Microstructured fiber scaffolds may have utility for a range of biotechnological applications including tissue engineering or cell‐based assays.

     

A Facile Route to Prepare Organic/Inorganic Hybrid Nanomaterials by ‘Click Chemistry’

An organosilane with an alkyne group at the non‐condensable end, [(2‐propynylcarbamate)propyl]triethoxysilane, has been synthesized. Condensation of this organosilane with tetraethoxysilane can be achieved by a co‐condensation strategy to produce silica nanoparticles with surface alkyne functionality. The size and uniformity of size distribution of the silica nanoparticles are influenced by varying the concentration of the added organosilane. The alkyne‐functionalized silica nanoparticles are coupled directly with azide‐modified polymers by ‘click chemistry’ to yield organic–inorganic hybrid nanomaterials.

     

Layered Zirconium(IV) Aminoethylphosphonate Intercalated with Horseradish Peroxidase for an Amperometric Biosensor

Layered zirconium(IV) aminoethylphosphonate (ZrAEP) have been used as matrices for immobilization of horseradish peroxidase (HRP) to fabricate enzyme electrode for an amperometric biosensor. The biocompatible HRP–ZrAEP films were fabricated on gold electrode surface by electro‐co‐deposition method. The morphology of the HRP–ZrAEP composite was characterized by scanning electron microscopy (SEM). UV–vis spectroscopy indicated that the intercalated HRP retained its native structure after incorporation in the ZrAEP. The immobilized HRP at the HRP–ZrAEP films exhibited good electro catalytic responses to the reduction of hydrogen peroxide. The response time of the biosensor was less than 3 s, and the linear range is from 2.5 × 10^?6 to 3.22 × 10^?3 M, with a detection limit of 7.0 × 10^?7 M (S/N = 3). The Michaelis–Menten constant (K^app_M) value is estimated to be 2.21 mM. In addition, the obtained biosensor possesses high sensitivity, good stability and reproducibility.     

On the expected surface area of the Wiener sausage

For parallel neighborhoods of the paths of the d ‐dimensional Brownian motion, so‐called Wiener sausages, formulae for the expected surface area are given for any dimension d ≥ 2. It is shown by means of geometric arguments that the expected surface area is equal to the first derivative of the mean volume of the Wiener sausage with respect to its radius (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)     

On ordered categories as a framework for fuzzification of algebraic and topological structures

Using the framework of ordered categories, the paper considers a generalization of the fuzzification machinery of algebraic structures introduced by Rosenfeld as well as provides a new approach to fuzzification of topological structures, which amounts to fuzzifying the underlying “set” of a structure in a suitably compatible way, leaving the structure itself crisp. The latter machinery allows the so-called “double fuzzification”, i.e., a fuzzification of something that is already fuzzified.     

群Yetter-Drinfel'd范畴中的Hopf代数

In this note we first show that if H is a finite-dimensional Hopf algebra in a group Yetter-Drinfel＇d category L^LyD（π） over a crossed Hopf group-coalgebra L, then its dual H^＊ is also a Hopf algebra in the category L^LyD（π）. Then we establish the fundamental theorem of Hopf modules for H in the category L^LyD（π）.     

On graphs without crowns with regularμ-subgraphs

Anm-crown is the complete tripartite graphK _{1, 1,m} with parts of order 1, 1,m, and anm-claw is the complete bipartite graphK _1,m with parts of order 1,m, wherem ≥ 3. A vertexa of a graph Γ is calledweakly reduced iff the subgraph {x є Γ ‖a ^⊥ =x ^⊥} consists of one vertex. A graph Γ is calledweakly reduced iff all its vertices are weakly reduced. In the present paper we classify all connected weakly reduced graphs without 3-crowns, all of whose μ-subgraphs are regular graphs of constant nonzero valency. In particular, we generalize the characterization of Grassman and Johnson graphs due to Numata, and the characterization of connected reduced graphs without 3-claws due to Makhnev. Translated fromMatematicheskie Zametki, Vol. 67, No. 6, pp. 874–881, June, 2000. This research was supported by the Russian Foundation for Basic Research under grant No. 99-01-00462.     

Nanofibrous Membranes Containing Carbon Nanotubes: Electrospun for Redox Enzyme Immobilization

Summary: Nanofibrous membranes that possess reactive groups are fabricated by the electrospinning process from PANCAA solutions that contain MWCNTs. Field emission scanning electron microscopy is used to evaluate the morphology and diameter of the nanofibers. Potentials for applying these nanofibrous membranes to immobilize redox enzymes by covalent bonding are explored. It is envisaged that the electrospun nanofibrous membranes could provide a large specific area and the MWCNTs could donate/accept electrons for the immobilized redox enzymes. Results indicate that, after blending with MWCNTs, the diameter of the PANCAA nanofiber increases slightly. The PANCAA/MWCNT nanofibrous membranes immobilize more enzymes than that without MWCNTs. Moreover, as the concentration of the MWCNTs increases, the activity of the immobilized catalase is enhanced by about 42%, which is mainly attributed to the promoted electron transfer through charge‐transfer complexes and the π system of MWCNTs.

The covalent immobilization of redox enzymes, such as catalase, on a PANCAA/MWCNTs nanofiber.     

Special Elements of the Lattice of Overcommutative Varieties of Semigroups

The distributive, codistributive, standard, costandard, and neutral elements of the lattice of overcommutative varieties of semigroups are completely described.     

低密度等离子体融断开关的粒子模拟研究

 采用2.5维柱坐标粒子模拟程序研究了低密度等离子体融断开关（PEOS）工作过程中的物理现象,介绍了计算模型的建立和复杂边界的算法处理。模拟结果表明,在PEOS导通电流的过程中,电流通道最初在等离子体的发生器端形成,并且随着导通时间的增大而向负载端漂移。离子的空间分布并没有明显的变化,当PEOS发生断路时,等离子体离子的密度会迅速降低,并最终导致PEOS阴极附近的等离子体的密度已接近为零,此时,阴极电子完全受磁场箍缩作用而不能到达阳极,PEOS完全断开。